Finding the Third Proportional to 83,446.50 and 184,911

Step by Step Solution

1. Step 1: Write the proportion equation
   83,446.50 : 184,911 = 184,911 : x
2. Step 2: Convert to fraction form
   83,446.50/184,911 = 184,911/x
3. Step 3: Cross multiply
   83,446.50x = 184,911 × 184,911
4. Step 4: Simplify right side
   83,446.50x = 34,192,077,921
5. Step 5: Solve for x
   x = 34,192,077,921/83,446.50
6. Step 6: Final answer
   x = 409,748.50